Electricity: Calculating Current and Potential Difference in a Circuit

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Homework Help Overview

The discussion revolves around a circuit problem involving the calculation of current and potential difference across resistors. The original poster presents a scenario with a 4Ω and a 3Ω resistor, providing a potential difference of 8V across the 4Ω resistor and asking for various calculations related to current and potential difference.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore Ohm's Law to calculate current through the resistors. Some provide calculations for the current through the 4Ω resistor and question the potential difference across the 3Ω resistor and the battery. Others express confusion regarding certain parts of the problem and seek clarification on the original poster's statements.

Discussion Status

The discussion includes various attempts at calculations and interpretations of the problem. Some participants have provided detailed calculations, while others are seeking clarity on specific questions posed by the original poster. There is no explicit consensus on the interpretations or solutions yet.

Contextual Notes

There are references to attachments that are pending approval, which may contain important visual information about the circuit. Some participants express difficulty in understanding due to formatting issues in the posts.

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[SOLVED] Electricity (probably easy

Homework Statement



In a circuit shown, the p.d. across the 4Ω resistor is 8 V.
a)What is the current through the 4Ω resistor?
b)What is the current through the 3Ω resistor?
c)What is the p.d. across the 3Ω resistor?
d)What is the p.d. applied by the battery?



Homework Equations


Ohms Law V=IR


The Attempt at a Solution



a)2A?
 

Attachments

  • Electricity.jpg
    Electricity.jpg
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Please show how you arrived at the solution. Since the attachment is pending approval from moderators, I can't see your circuit. A quicker way would be to upload the attachment to an online image hosting site like http://photobucket.com" and use the corresponding link in IMG tags while posting. Can you do that?
 
Last edited by a moderator:
Can you see it?
<a href="http://s262.photobucket.com/albums/ii120/reika_xx/?action=view&current=Electricity.jpg" target="_blank"><img src="http://i262.photobucket.com/albums/ii120/reika_xx/Electricity.jpg" border="0" alt="Electricity Circuit"></a>a)V=IR
8=I*4
I=2A
 
Last edited by a moderator:
sorry
http://s262.photobucket.com/albums/ii120/reika_xx/?action=view&current=Electricity.jpg
 
1
i. For the 4[itex]\Omega[/itex] resistor,
[tex] V = 8~NmC^{-1}[/tex]
[tex] R = 4~NmC^{-2}s^{-1}[/tex]

Hence,

[tex] I = \frac{V}{R} = \frac{8}{4} \frac{NmC^{-1}}{NmC^{-2}s^{-1}}[/tex]
[tex] I = 2~Cs^{-1} = 2~A[/tex]

ii. Current through the 3[itex]\Omega[/itex] resistor is the same as through the 4[itex]\Omega[/itex] resistor as both of them are in series.

iii. For the 3[itex]\Omega[/itex] resistor:

[tex] I = 2~Cs^{-1}[/tex]
[tex] R = 3~NmC^{-2}s^{-1}[/tex]

Hence,

[tex] V~=~IR = 2 \times 3~Cs^{-1}.NmC^{-2}s^{-1}[/tex]
[tex] V = 6~NmC^{-1} = 6~V[/tex]

iv. Do you mean the potential difference across the terminals of the battery? If that is the case, you can solve it using Kirchhoff's law. Refer to the figure in the attachment.

Hence,

[tex] \epsilon + 2(4)~NmC^{-1} + 2(3)~NmC^{-1} = 0[/tex]
[tex] |\epsilon| = 14~NmC^{-1} = 14~V[/tex]

So, the battery provides and e.m.f of 14V. [In case you can't see the attachment, go here: http://image.bayimg.com/iajbbaaba.jpg ]
 

Attachments

  • circuit1.jpg
    circuit1.jpg
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Last edited by a moderator:
thank you so much!
 
I=U/R=8V/4om=2A
I=8V/3om=8/3 A

This questions I don't understand
"c)What is the p.d. across the 3Ω resistor?
d)What is the p.d. applied by the battery?"

"sorry
http://s262.photobucket.com/albums/i...lectricity.jpg"
I=8V/(4om+3om)=8/7 A.
If electricity is ~, then (8/7)A/2=8/14 A, becouse of diod.
 
Last edited by a moderator:
@fermio: I am not able what you are trying to say due to poor formatting. Please repost with proper formatting and punctuation.
 

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